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PreprintCC BY 4.0arXiv

More than 8/9 zeros of the Riemann zeta function are simple or on the critical line

Abstract

We prove unconditionally that the lower limiting proportion of nontrivial zeros of the Riemann zeta function, which are simple or lie on the critical line, is greater than 8/9, with zeros counted with multiplicity.

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BibTeX
@misc{cobeli2026more,
  title = {{More than 8/9 zeros of the Riemann zeta function are simple or on the critical line}},
  author = {Cristian Cobeli and Alexandru Zaharescu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23467},
  eprint = {2610.23467},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23467},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - More than 8/9 zeros of the Riemann zeta function are simple or on the critical line
AU  - Cristian Cobeli
AU  - Alexandru Zaharescu
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23467
UR  - https://arxiv.org/abs/2610.23467
AB  - We prove unconditionally that the lower limiting proportion of nontrivial zeros of the Riemann zeta function, which are simple or lie on the critical line, is greater than 8/9, with zeros counted with multiplicity.
ER  -